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Popular >

simplify (\sqrt[3]{ab})^{15}

Solution

simplify

Solution

a^{5} b^{5}

Solution steps

Rewrite

15

as

3 \cdot 5

Apply exponent rule:

a^{b c} = (a^{b})^{c},

assuming

a \geq 0

Apply exponent rule:

assuming

n i s o dd or a \geq 0

= (ab)^{5}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(ab)^{5} = a^{5} b^{5}

= a^{5} b^{5}

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Frequently Asked Questions (FAQ)

What is (\sqrt[3]{ab})^{15} ?
The solution to (\sqrt[3]{ab})^{15} is a^5b^5